ln(x-9)-ln(x+7)=ln(x-6)-ln(x+7)

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Solution for ln(x-9)-ln(x+7)=ln(x-6)-ln(x+7) equation: 


Simplifying
ln(x + -9) + -1ln(x + 7) = ln(x + -6) + -1ln(x + 7)

Reorder the terms:
ln(-9 + x) + -1ln(x + 7) = ln(x + -6) + -1ln(x + 7)
(-9 * ln + x * ln) + -1ln(x + 7) = ln(x + -6) + -1ln(x + 7)
(-9ln + lnx) + -1ln(x + 7) = ln(x + -6) + -1ln(x + 7)

Reorder the terms:
-9ln + lnx + -1ln(7 + x) = ln(x + -6) + -1ln(x + 7)
-9ln + lnx + (7 * -1ln + x * -1ln) = ln(x + -6) + -1ln(x + 7)
-9ln + lnx + (-7ln + -1lnx) = ln(x + -6) + -1ln(x + 7)

Reorder the terms:
-9ln + -7ln + lnx + -1lnx = ln(x + -6) + -1ln(x + 7)

Combine like terms: -9ln + -7ln = -16ln
-16ln + lnx + -1lnx = ln(x + -6) + -1ln(x + 7)

Combine like terms: lnx + -1lnx = 0
-16ln + 0 = ln(x + -6) + -1ln(x + 7)
-16ln = ln(x + -6) + -1ln(x + 7)

Reorder the terms:
-16ln = ln(-6 + x) + -1ln(x + 7)
-16ln = (-6 * ln + x * ln) + -1ln(x + 7)
-16ln = (-6ln + lnx) + -1ln(x + 7)

Reorder the terms:
-16ln = -6ln + lnx + -1ln(7 + x)
-16ln = -6ln + lnx + (7 * -1ln + x * -1ln)
-16ln = -6ln + lnx + (-7ln + -1lnx)

Reorder the terms:
-16ln = -6ln + -7ln + lnx + -1lnx

Combine like terms: -6ln + -7ln = -13ln
-16ln = -13ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-16ln = -13ln + 0
-16ln = -13ln

Solving
-16ln = -13ln

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '13ln' to each side of the equation.
-16ln + 13ln = -13ln + 13ln

Combine like terms: -16ln + 13ln = -3ln
-3ln = -13ln + 13ln

Combine like terms: -13ln + 13ln = 0
-3ln = 0

Divide each side by '-3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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